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2013 Infinitesimal Deformations of the Model ${\mathbb{Z}_3}$-Filiform Lie Algebra
Rosa María Navarro
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J. Gen. Lie Theory Appl. 7: 1-11 (2013). DOI: 10.4303/jglta/235699


In this work, it is considered that the vector space is composed by the infinitesimal deformations of the model ${\mathbb{Z}_3}$-filiform Lie algebra ${L^{n,m,p}}$. By using these deformations, all the ${\mathbb{Z}_3}$-filiform Lie algebras can be obtained, hence the importance of these deformations. The results obtained in this work, together with those obtained by Khakimdjanov and Navarro ( J. Geom. Phys. 2011 and 2012), lead to compute the total dimension of the mentioned space of deformations.


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Rosa María Navarro. "Infinitesimal Deformations of the Model ${\mathbb{Z}_3}$-Filiform Lie Algebra." J. Gen. Lie Theory Appl. 7 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 23 July 2015

zbMATH: 1317.17018
MathSciNet: MR3038861
Digital Object Identifier: 10.4303/jglta/235699

Primary: 17B30 , 17B56 , 17B70 , 17B75

Rights: Copyright © 2013 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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